What is the product of the polynomials below?
(3x2 - 2x - 3)(5x2 + 4x + 5)

Answer

15x^4+2x^3+8x^2-15

15^4+2^3−8^2−22−15

Step-by-step explanation:

(3^2−2−3)(5^2+4+5)

Distribute:

3(5^2+4+5) ⋅ ^2−2(5^2+4+5) − 3(5^2+4+5)

15^4+12^3+15^2 − 2(52+4+5) − 3(52+4+5)

15^4+12^3+15^2 − 10^3−8^2−10 − 3(52+4+5)

15^4+12^3+15^2 − 10^3−8^2−10 − 15^2−12−15

Combine like terms:

15^4+12^3−10^3+15^2−8^2−15^2−10−12−15

15^4+2^3+15^2−8^2−15^2−10−12−15

15^4+2^3−8^2−10−12−15

15^4+2^3−8^2−22−15

15^4+2^3−8^2−22−15

hope it helps :)

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